# What is the derivative of this function #y=tan^-1(2x^4)#?

##### 1 Answer

May 30, 2017

#### Explanation:

Aside from just applying the chain rule, one helpful way to perform this derivation may be to substitute a variable **u** to break the equation into separate pieces of a puzzle, like this:

We know the chain rule is

We can also let **u** (in this case) =

Now just take the derivative of the function in two puzzle pieces:

We know

SO...

and

From here, just substitute back

Which simplifies to...

V'oila! Our puzzle is complete!